Abstract
After the celebrated work of L. Hörmander on the one-parameter pseudo-differential operators, the applications of pseudo-differential operators have played an important role in partial differential equations, geometric analysis, harmonic analysis, theory of several complex variables and other branches of modern analysis. For instance, they are used to construct parametrices and establish the regularity of solutions to PDEs such as the
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11801049
Award Identifier / Grant number: 11501308
Award Identifier / Grant number: 11771223
Funding source: Natural Science Foundation of Chongqing
Award Identifier / Grant number: cstc2019jcyj-msxmX0374
Award Identifier / Grant number: cstc2019jcyj-msxmX0295
Funding source: Simons Foundation
Award Identifier / Grant number: 519099
Funding statement: The first two authors were supported in part by grants from NNSF of China (Grant numbers 11801049, 11501308, 11771223) and the Natural Science Foundation of Chongqing (Grant numbers cstc2019jcyj-msxmX0374, cstc2019jcyj-msxmX0295). The third author was partly supported by the Simons foundation (Grant number 519099).
Acknowledgements
The authors would like to thank the referee for his/her very careful reading and helpful comments which have improved the exposition of the paper.
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